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Finding the Third Proportional to 3,200,202 and 6,998,178

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Solution

The third proportional to 3,200,202 and 6,998,178 is: 15,303,563.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200,202 : 6,998,178 = 6,998,178 : x
  2. Step 2: Convert to fraction form
    3,200,202/6,998,178 = 6,998,178/x
  3. Step 3: Cross multiply
    3,200,202x = 6,998,178 × 6,998,178
  4. Step 4: Simplify right side
    3,200,202x = 48,974,495,319,684
  5. Step 5: Solve for x
    x = 48,974,495,319,684/3,200,202
  6. Step 6: Final answer
    x = 15,303,563.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.